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有限总体M|G|1排队系统的解析模型 被引量:1

Analytical model for M |G| 1 queueing system with finite population
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摘要 This paper studies the stochastic transition behavior of M|G|1 queueing system with a finite population by means of generalized Markov renewal processes.Formulas for the steady-state performance measures, such as the distribution of queue sizes, average waiting time, mean busy period lengths and so on, are then derived, Finally, the queueing model is applied to reliability analysis of the parallel repairable system with an arbitrary service time distribution. This paper studies the stochastic transition behavior of M|G|1 queueing system with a finite population by means of generalized Markov renewal processes.Formulas for the steady-state performance measures, such as the distribution of queue sizes, average waiting time, mean busy period lengths and so on, are then derived, Finally, the queueing model is applied to reliability analysis of the parallel repairable system with an arbitrary service time distribution.
作者 王敬 杨德礼
出处 《大连理工大学学报》 EI CAS CSCD 北大核心 1992年第6期737-742,共6页 Journal of Dalian University of Technology
基金 国家自然科学基金资助项目 中国科学院复杂系统控制开放实验室基金资助项目
关键词 有限总体M/G/1排队系统 排队论 模型 马氏过程 queueing theory Markov processes reliability theory mathematical model
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